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Math Help - Math Riddle

  1. #1
    MHF Contributor Quick's Avatar
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    Math Riddle

    Three Guys go into a motel, they buy a room. The clerk charges them $30. However, the clerk realizes that the room only costs $25 and gives $5 to the bell boy to give back to them. Since $5 can't be split evenly, the bell boy gives each man $1 and keeps $2 for himself.

    In other words:
    They each payed $10 dollars, so  $10 \cdot 3 = $30
    They each got $1 back, so  (10-1) \cdot 3 = 27
    and the bellboy keeps $2,  9 \cdot 3 + 2 = 29

    Now the question: What happened to the extra dollar?

    Here is a riddle that I like and it stumps a lot of people, let's see how you guys do.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Quick
    Three Guys go into a motel, they buy a room. The clerk charges them $30. However, the clerk realizes that the room only costs $25 and gives $5 to the bell boy to give back to them. Since $5 can't be split evenly, the bell boy gives each man $1 and keeps $2 for himself.

    In other words:
    They each payed $10 dollars, so  $10 \cdot 3 = $30
    They each got $1 back, so  (10-1) \cdot 3 = 27
    and the bellboy keeps $2,  9 \cdot 3 + 2 = 29

    Now the question: What happened to the extra dollar?

    Here is a riddle that I like and it stumps a lot of people, let's see how you guys do.
    You can see what was said last time here
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  3. #3
    Super Member malaygoel's Avatar
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    India
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    Quote Originally Posted by Quick
    Three Guys go into a motel, they buy a room. The clerk charges them $30. However, the clerk realizes that the room only costs $25 and gives $5 to the bell boy to give back to them. Since $5 can't be split evenly, the bell boy gives each man $1 and keeps $2 for himself.

    In other words:
    They each payed $10 dollars, so  $10 \cdot 3 = $30
    They each got $1 back, so  (10-1) \cdot 3 = 27
    and the bellboy keeps $2,  9 \cdot 3 + 2 = 29

    Now the question: What happened to the extra dollar?

    Here is a riddle that I like and it stumps a lot of people, let's see how you guys do.
    clerk has $25
    guys have $3
    bell boy has $2..... total $30
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  4. #4
    Newbie
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    Because the Clerk actually received $25 each person actually paid him $25 divided by three =$8and a third.

    Since the Bell boy received $2, each person paid him $2 divide by 3 = $two thirds

    Therefore each person actually paid $8 and a third + $two thirds = $9

    And of course they each got back $1

    That makes $30!

    beens
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